Answer:
2/8, 5/8
Step-by-step explanation:
![\frac{1}{4}*\frac{2}{2} =\frac{2}{8} \\\\\frac{3}{8} +\frac{2}{8} =\frac{5}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%2A%5Cfrac%7B2%7D%7B2%7D%20%3D%5Cfrac%7B2%7D%7B8%7D%20%5C%5C%5C%5C%5Cfrac%7B3%7D%7B8%7D%20%2B%5Cfrac%7B2%7D%7B8%7D%20%3D%5Cfrac%7B5%7D%7B8%7D)
Multiplying by 2/2 is like multiplying by 1, so it doesn't affect the value.
To add fractions with the same denominator just add the numerator, the denominator stays the same.
Answer:
The answer is below
Step-by-step explanation:
A linear equation is represented by the equation y = mx + b, where m is the rate of change, b is the value of y at x = 0, y is a dependent variable and x is an independent variable.
Let t represent the number of years since 1992, and P represent the per capita consumption of fish and shellfish in the U.S.
In 1992 (t = 0), the per capita consumption was 14.7 pounds, this can be represented by (0, 14.7) while in 1994 (t = 1994-1992=2) it was 15.1 pounds this can be represented by (2, 15.1)
Using (0, 14.7) and (2, 15.1) we can get the equation of the line using:
![P-P_1=\frac{P_2-P_1}{t_2-t_1}(t-t_1)\\ \\P-14.7=\frac{15.1-14-7}{2-0}(t-0)\\ \\P-14.7=0.2t\\\\P=0.2t+14.7](https://tex.z-dn.net/?f=P-P_1%3D%5Cfrac%7BP_2-P_1%7D%7Bt_2-t_1%7D%28t-t_1%29%5C%5C%20%5C%5CP-14.7%3D%5Cfrac%7B15.1-14-7%7D%7B2-0%7D%28t-0%29%5C%5C%20%5C%5CP-14.7%3D0.2t%5C%5C%5C%5CP%3D0.2t%2B14.7)
In the year 2002 (t = 2002-1992 = 10), the per capita consumption of fish and shellfish is:
P = 0.2(10) + 14.7
P = 16.7 pounds
You are asking for the limit of a constant function.
The fact that
is a constant function means that, for every input x you give to the function, the answer is always 3. So, for example,
![f(1) = 3,\ f(-14) = 3,\ f(6) = 3,\ f(\pi) = 3,\ f\left(\dfrac{3}{7}\right) = 3,\ f(0) = 3,\ f(12) = 3](https://tex.z-dn.net/?f=%20f%281%29%20%3D%203%2C%5C%20f%28-14%29%20%3D%203%2C%5C%20f%286%29%20%3D%203%2C%5C%20f%28%5Cpi%29%20%3D%203%2C%5C%20f%5Cleft%28%5Cdfrac%7B3%7D%7B7%7D%5Cright%29%20%3D%203%2C%5C%20f%280%29%20%3D%203%2C%5C%20f%2812%29%20%3D%203)
And so on. The output doesn't depend on the input: it's always 3.
So, the limit you're asking for means: if my input approaches -3, what happens to the output? Well, we already know that the output doesn't depend on the input. So, the input can approach every value you want, but the answer will always be 3.